Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 3 inches at the top and a height of 6 inches. At the instant when the water in the container is 4 inches deep, thesurface level is falling at the rate of -1.8 in./s. Find the rate at which water is being drained.O-33.93 in.³/sO 45.24 in.³/sO-21.6 in.³/sO-22.62 in.³/s

We can solve the given problem by using the concept of derivative.

Answered: Solve the problem. A container, in the…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Similar questions

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A right circular cone 12.7 centimeters high contains 198.7 cubic centimeters of material. Find the area of the base of the cone. Round the answer to the nearest square centimeter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A vessel in the shape of a right circular cone has a capacity of 0.690 liter. The base diameter is 12.30 centimeters. What is the height of the vessel? One liter contains 1000 cubic centimeters.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A brass casting is in the shape of a right circular cone with a base diameter of 8.26 centimeters and a height of 18.36 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.
Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?
A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting time is 12.35 minutes, the cutting speed is 240 feet per minute, and the feed is 0.01 inches per revolution. What is the diameter of the carbide milling cutter? Round the answer to 2 decimal places.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism with a base area of 125 square inches and a height of 8 inches.
Cast iron 10 cm in diameter is turned in a lathe at 350 rpm. Each length of cut is 65 cm and eight cuts are required.A carbide tool is fed into the work at 0.0425 cm = 0.425 mm per revolution. Use the formula TLFN to find thetotal cutting time. Round the answerto 1 decimal place.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.

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